Why is TurboTax telling me I am not eligible for the Life time Learning Credit when I paid over $11000 in tuition, worked a job and am not a dependent of my parents?

The  Life time Learning Credit (LLC) is non refundable, it cab only be used to offset a tax liability.  Otherwise, 

If you are eligible, you have answered  something wrong, in the interview. But, a lot of people are just not eligible.

I assume you are a grad and that is why you are not claiming the more generous AOTC.

 

See Also see this TT support article https://turbotax.intuit.com/tax-tips/college-and-education/what-are-education-tax-credits/L7TuLrVqZ

https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-credits-deductions/education-tax-credits-available/L691dvlGB_US_en_US shorter

https://www.irs.gov/credits-deductions/individuals/education-credits-questions-and-answers

 https://www.irs.gov/individuals/llc